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Finding the Fourth Proportional to 7,307.69, 10,077.93 and 6,249.42

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Solution

The fourth proportional to 7,307.69, 10,077.93 and 6,249.42 is: 8,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.69 : 10,077.93 = 6,249.42 : x
  2. Step 2: Convert to fraction form
    7,307.69/10,077.93 = 6,249.42/x
  3. Step 3: Cross multiply
    7,307.69x = 10,077.93 × 6,249.42
  4. Step 4: Simplify right side
    7,307.69x = 62,981,217.30
  5. Step 5: Solve for x
    x = 62,981,217.30/7,307.69
  6. Step 6: Final answer
    x = 8,618.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.